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Finding the Fourth Proportional to 105,676.54, 145,838.16 and 63,226.90

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Solution

The fourth proportional to 105,676.54, 145,838.16 and 63,226.90 is: 87,255.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,676.54 : 145,838.16 = 63,226.90 : x
  2. Step 2: Convert to fraction form
    105,676.54/145,838.16 = 63,226.90/x
  3. Step 3: Cross multiply
    105,676.54x = 145,838.16 × 63,226.90
  4. Step 4: Simplify right side
    105,676.54x = 9,220,894,758.50
  5. Step 5: Solve for x
    x = 9,220,894,758.50/105,676.54
  6. Step 6: Final answer
    x = 87,255.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.